Golden Division

The golden section or Golden Division… is a particular relationship between two numbers or two sizes. Is this ratio the Golden number? (PHI) (or the golden ratio or the divine ratio) and has the value see is the most spectacular example of conditions of the golden section in nature is the arrangement (Phyllotaxy) leaves and inflorescences of many plants. In these plants, the angle between two consecutive leaves shares the full circle of 360 in the ratio of the golden section, if you take the two blade roots through a parallel shift in one of the sheets along the axis of the plant cover. It is the Golden angle of about 137.5. The resulting structures are also called self-similar, inasmuch as a pattern on a deeper level of structure is found in higher levels.

Examples are the sunflower, the petals of the rose, when many plants organized according to the golden section, types of cabbage and pine needles on young branches, cones, agaves, many palms and Yucca species form in this context, so-called Fibonacci spirals. Spirals of this kind are particularly good to see if the blade distance compared to the size of the plant stem is very small cones with 5, 8 and 13 of the Fibonacci spirals. They are not made of successive leaves, but those at a distance of n, where n is a Fibonacci number. u0085 Fibonacci spirals in flowers such as sunflowers are particularly impressive. The golden ratio has seen such as in the Bellflower, the Columbine and the (wild) Corymbifera also five-flowers. The distance between of the tips of petals of nearest neighbors to the next is like at the regular Pentagon usual in his relationship. This applies equally Starfish and other animals with five-digit symmetry. Source, :…, author annotations and corrections defined Fibonacci numbers by a recurrence sequence with the limbs 1, 1, 2, 3, 5, 8, 13,…, is the sum of the previous two in from the third link on each link.